Revista Matemática Iberoamericana

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Published online first: 2020-01-10
DOI: 10.4171/rmi/1172

The Chirka–Lindelöf and Fatou theorems for $\overline\partial_J$-subsolutions

Alexandre Sukhov[1]

(1) Université des Sciences et Technologies de Lille, Villeneuve-d'Ascq, France and Ufa Research Centre of Russian Academy o

This paper studies boundary properties of bounded functions with bounded $\overline\partial_J$ differential on strictly pseudoconvex domains in an almost complex manifold.

Keywords: Almost complex manifold, $\overline\partial$-operator, strictly pseudoconvex domain, Fatou's theorem

Sukhov Alexandre: The Chirka–Lindelöf and Fatou theorems for $\overline\partial_J$-subsolutions. Rev. Mat. Iberoam. Electronically published on January 10, 2020. doi: 10.4171/rmi/1172 (to appear in print)